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Secondary Theories for Simplicial Manifolds and Classifying Spaces

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posted on 26.02.2009, 13:34 by Marcello Felisatti, Frank Neumann
Abstract. We define secondary theories and characteristic classes for simplicial smooth manifolds generalizing Karoubi’s multiplicative Ktheory and multiplicative cohomology groups for smooth manifolds. As a special case we get versions of the groups of differential characters of Cheeger and Simons for simplicial smooth manifolds. Special examples include classifying spaces of Lie groups and Lie groupoids.

History

Publisher

Dept. of Mathematics, University of Leicester.

Available date

26/02/2009

Publisher version

http://www2.le.ac.uk/departments/mathematics/extranet/research-material/reports/res_rep05

Book series

MA 05-04

Language

en